`Aa n dB`
are two candidates seeking admission in ITT. The
probability that `A`
is selected
is 0.5 and the probability that `Aa n dB`
are selected is at most 0.3. Is it possible that the
probability of `B`
getting selected is 0.9?
Correct Answer - Not possible
P(A) = 0.5, `P(A nn B) le 0.3`
So, `P(A uu B) = P(A) + P(B) - P(A nn B)` gives
`P(B) = P(A uu B) - P(A) + P(A nn B) le 1 + 0.3 - 0.5 = 0.8 " "[ because P(A uu B) le 1]`
Hence, P(B) = 0.9 is not possible
Correct option is: A) \(\frac{3}{5}\)
There are 6 red, 3 black and 6 white balls.
\(\therefore\) Total number of balls = 6 + 3 + 6 = 15.
Number of balls which are not red =...
Correct option is: C) \(\frac {26}{31}\)
Since, first day of August month is Tuesday
Then 1st, 8th, 15th, 22nd & 25th days of this August month are Tuesday
Total No of Tuesday in month of...
Correct option is: C) Atiya
\(\because\) Probability of an impossible event is 0 \(\neq\) 1.
Hence, the statement of Gita is wrong.
Also, probability of a sure event is 1 \(\neq\) 0
Hence, the statement of Pravallika is wrong.
Since, 0 \(\leq\) P \(\leq\) 1,...
When a partner is admitted the assets are revalued and liabilities are reassessed. The gain (profit) or loss, as the case may be is distributed among the old partners in...
(i) At the time of admission of a new partner for distributing goodwill brought in by him.
(ii) For adjusting goodwill in the case of change in the porfit-sharing ratio...
Correct Answer - D
Three-digit numbers are 100, 101, …, 999. Total number of such numbers is 900. The three-digit numbers (which have all same digits) are 111, 222, 333, …,...
Correct Answer - A
`S={00,01,02,....,49}`
Let A be the event that the sum of the digits on the selected ticket is 8. Then
`A={08,17,26,35,44}`
Let B be the event that the...
Correct Answer - B
`(b)` Each pre-image in set `A` can be assigned any one of the `5` images from set `B`
Hence total number of functions are `n(S)=5^(4)=625`
For strictly...